Answer:
110 feet/sec
Step-by-step explanation:
75 miles x 5280 feet
= 396000
396000/60 min
=6600
6600/60 secs
=110 feet/second
Answer:
Step-by-step explanation:
Answer:2x=7 , x=3.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Two equations are required to represent this problem as posed.
1. An equation for the number of coins:
n + q = 25
2. An equation for the value of the coins:
0.05n + 0.25q = 4.05
Answer:
Step-by-step explanation:
Given the data:
Year___Actual sale (At) ___forecast(Ft)
2005__450_____________410
2006__495____________ 422
2007__518____________ 443.9
2008_ 563____________ 466.1
2009_584____________ 495.2
2010__
Using the formula :
Ft = Ft-1 + alpha(At-1 - Ft-1)
Ft-1 = previous year forecast
At-1 = previous year actual
Alpha = 0.3
Forecast:
2006:
410 + 0.3(450 - 410) = 422.0
2007:
422 + 0.3(495 - 422) = 443.9
2008:
443.9 + 0.3(518 - 443.9) = 466.1
2009:
466.1 + 0.3(563 - 466.1) = 495.2
2010:
495.2 + 0.3(584 - 495.2) = 521.8
Forecasted value for 2010 = 521.8
By utilizing the method of exponential smoothing with alpha=0.3 and applying the forecasting formula iteratively, the forecasted sales of Volkswagen Beetles for 2010 in Nevada is 525.7 units.
The exponential smoothing method is commonly used in business and economics for forecasting future data in situations where historical data is available. The forecast value for 2010 using exponential smoothing with alpha = 0.30 can be obtained by implementing the provided formula in an iterative manner. This formula takes into account the actual data point from the previous year (At-1) and the forecasted data point for that year (Ft-1).
Let us use the forecast value for 2004 and 2005, which was predicted as 410 for each year, as our initial forecast value (F1).
By applying the formula Ft = Ft-1 + alpha * (At-1 - Ft-1) iteratively for each year from 2006 to 2009, we get:
Using these forecasted rates, we then forecast for the year 2010. The forecast for 2010 (F_2010) is calculated by 496.37 + 0.30*(584-496.37) giving 525.67 (rounded to one decimal place). Hence the forecast for the year 2010 using exponential smoothing with the alpha as 0.30 is estimated to be 525.7 VolksWagen Beetles.
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